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Related papers: Group Fairness in Committee Selection

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Stable matching in a community consisting of men and women is a classical combinatorial problem that has been the subject of intense theoretical and empirical study since its introduction in 1962 in a seminal paper by Gale and Shapley, who…

Data Structures and Algorithms · Computer Science 2021-12-14 Hugo Gimbert , Claire Mathieu , Simon Mauras

We study the probabilistic assignment of items to platforms that satisfies both group and individual fairness constraints. Each item belongs to specific groups and has a preference ordering over platforms. Each platform enforces group…

Artificial Intelligence · Computer Science 2024-05-13 Atasi Panda , Anand Louis , Prajakta Nimbhorkar

We thoroughly study a generalized version of the classic Stable Marriage and Stable Roommates problems where agents may share partners. We consider two prominent stability concepts: ordinal stability [Aharoni and Fleiner, Journal of…

Computer Science and Game Theory · Computer Science 2020-11-25 Jiehua Chen , Sanjukta Roy , Manuel Sorge

Electing a single committee of a small size is a classical and well-understood voting situation. Being interested in a sequence of committees, we introduce and study two time-dependent multistage models based on simple Plurality voting.…

Computational Complexity · Computer Science 2024-01-22 Robert Bredereck , Till Fluschnik , Andrzej Kaczmarczyk

Traditional approaches to ensure group fairness in algorithmic decision making aim to equalize ``total'' error rates for different subgroups in the population. In contrast, we argue that the fairness approaches should instead focus only on…

Machine Learning · Computer Science 2021-05-11 Junaid Ali , Preethi Lahoti , Krishna P. Gummadi

The study of fair algorithms has become mainstream in machine learning and artificial intelligence due to its increasing demand in dealing with biases and discrimination. Along this line, researchers have considered fair versions of…

Data Structures and Algorithms · Computer Science 2023-01-11 Sayan Bandyapadhyay , Fedor V. Fomin , Tanmay Inamdar , Kirill Simonov

Multiwinner voting rules can be used to select a fixed-size committee from a larger set of candidates. We consider approval-based committee rules, which allow voters to approve or disapprove candidates. In this setting, several voting rules…

Computer Science and Game Theory · Computer Science 2024-11-05 Dominik Peters

Stable matchings have been studied extensively in social choice literature. The focus has been mostly on integral matchings, in which the nodes on the two sides are wholly matched. A fractional matching, which is a convex combination of…

Computer Science and Game Theory · Computer Science 2022-04-20 Shivika Narang , Y Narahari

We examine the issue of stability of probability in reasoning about complex systems with uncertainty in structure. Normally, propositions are viewed as probability functions on an abstract random graph where it is implicitly assumed that…

Artificial Intelligence · Computer Science 2017-12-14 Subhash Kak

In recent years, several metrics have been developed for evaluating group fairness of rankings. Given that these metrics were developed with different application contexts and ranking algorithms in mind, it is not straightforward which…

Machine Learning · Computer Science 2025-03-05 Tobias Schumacher , Marlene Lutz , Sandipan Sikdar , Markus Strohmaier

We introduce balancedness a fairness axiom in house allocation problems. It requires a mechanism to assign the top choice, the second top choice, and so on, on the same number of profiles for each agent. This axiom guarantees equal…

Theoretical Economics · Economics 2021-09-07 Xinghua Long , Rodrigo A. Velez

Multiwinner voting rules are used to select a small representative subset of candidates or items from a larger set given the preferences of voters. However, if candidates have sensitive attributes such as gender or ethnicity (when selecting…

Computers and Society · Computer Science 2018-06-20 L. Elisa Celis , Lingxiao Huang , Nisheeth K. Vishnoi

Coalition formation over graphs is a well studied class of games whose players are vertices and feasible coalitions must be connected subgraphs. In this setting, the existence and computation of equilibria, under various notions of…

Computer Science and Game Theory · Computer Science 2024-08-22 Angelo Fanelli , Laurent Gourvès , Ayumi Igarashi , Luca Moscardelli

This paper proposes normative criteria for voting rules under uncertainty about individual preferences. The criteria emphasize the importance of responsiveness, i.e., the probability that the social outcome coincides with the realized…

Theoretical Economics · Economics 2025-07-31 Satoshi Nakada , Shmuel Nitzan , Takashi Ui

Condorcet's paradox is a fundamental result in social choice theory which states that there exist elections in which, no matter which candidate wins, a majority of voters prefer a different candidate. In fact, even if we can select any $k$…

Computer Science and Game Theory · Computer Science 2025-12-02 Moses Charikar , Prasanna Ramakrishnan , Kangning Wang

Colloquially, there are two groups, $n$ men and $n$ women, each man (woman) ranking women (men) as potential marriage partners. A complete matching is called stable if no unmatched pair prefer each other to their partners in the matching.…

Combinatorics · Mathematics 2024-06-18 Boris Pittel

Criteria for a good voting system have been given particularly careful scrutiny in recent years, with general agreement that the core values are fair results, voter power and choice, and local representation. This paper reexamines the basic…

Physics and Society · Physics 2023-03-29 Denis Mollison

Real-life tools for decision-making in many critical domains are based on ranking results. With the increasing awareness of algorithmic fairness, recent works have presented measures for fairness in ranking. Many of those definitions…

Machine Learning · Computer Science 2023-07-10 Jinyang Li , Yuval Moskovitch , H. V. Jagadish

Traditionally, recommender systems operate by returning a user a set of items, ranked in order of estimated relevance to that user. In recent years, methods relying on stochastic ordering have been developed to create "fairer" rankings that…

Information Retrieval · Computer Science 2022-09-13 Amanda Bower , Kristian Lum , Tomo Lazovich , Kyra Yee , Luca Belli

A matching queue is described via a graph $G$ together with a matching policy. Specifically, to each node in the graph there is a corresponding arrival process of items which can either be queued, or matched with queued items in neighboring…

Probability · Mathematics 2017-03-08 Pascal Moyal , Ohad Perry